Results 31 to 40 of about 3,998 (168)
Solution Approaches to the Dynamic, Population Balance Modeling of Grinding with Transport
The solution of the dynamic population balance model (PBM) with transport is problematic. The fact that the dynamic PBM model equation solution to the Inverse Problem for grinding systems is degenerate or ...
M. C. Williams, T. P. Meloy, M. Tarshan
doaj +1 more source
Solution of a discontinuous inverse nodal problem on a finite interval
The inverse nodal problem is studied for the boundary value problem: \[ -y''+(q(x)+l(l+1)x^{-2})y=\lambda y,\; x\in[1,a],\tag{B} \] \(y'(1)=y'(a)+Hy(a)=0,\) where \(a>1,\, l\geq 0,\,q\in L(1,a)\). The potential \(p(x):=q(x)+l(l+1)x^{-2}\) is integrable on \([1,a]\), i.e. (B) is a classical Sturm-Liouville problem.
Hikmet Koyunbakan, Etibar S. Panakhov
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Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley +1 more source
CrossMatAgent is a multi‐agent framework that combines large language models and diffusion‐based generative AI to automate metamaterial design. By coordinating task‐specific agents—such as describer, architect, and builder—it transforms user‐provided image prompts into high‐fidelity, printable lattice patterns.
Jie Tian +12 more
wiley +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Using the Bees Algorithm with the Boundary Elements Method to Solve the Inverse Problem of Transient Heat Conduction [PDF]
: In this paper, a new population-based search called the Bees Algorithm (BA) is presented to estimate the time-dependent heat transfer coefficient and the corresponding heat flux at the boundaries of a two-dimensional body subjected to transient heat ...
Mohsen Ardakani, Seyd Mohammad MizanAdl
doaj
On inverse nodal problem for Sturm-Liouville operator [PDF]
In this paper we propose a solution to a certain inverse Sturm-Liouville problem, which allows one to determine the potential and the boundary conditions of the differential operator on the values of one of the differentials of Gateaux zeroes x k,n (q ) ∈ (0, ) of some eigenfunction ^ y (x, q, n (q )) for an increment w from the set W.
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Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley +1 more source
Inverse nodal problem for nonlocal differential operators
Inverse nodal problem consists in constructing operators from the given zeros of their eigenfunctions. The problem of differential operators with nonlocal boundary condition appears, e.g., in scattering theory, diffusion processes and the other applicable fields.
Xin-Jian Xu, Chuan-Fu Yang
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Restricted Tweedie stochastic block models
Abstract The stochastic block model (SBM) is a widely used framework for community detection in networks, where the network structure is typically represented by an adjacency matrix. However, conventional SBMs are not directly applicable to an adjacency matrix that consists of nonnegative zero‐inflated continuous edge weights.
Jie Jian, Mu Zhu, Peijun Sang
wiley +1 more source

